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We propose the linear and nonlinear planar Hall effect (PHE) in tilted Weylsemimetals in the presence of an in-plane magnetic and electric field, wherethe field-induced Berry connection (FBC) plays a key role. We show that the PHEis ascribed to the quantum metric, distinct from the well-known chiralanomaly-induced PHE arising from the Berry curvature. Using a tilting vector todescribe the model, we demonstrate the constrains on the linear and nonlinearPHE by the tilting directions. The linear PHE is intrinsic that is determinedby the topological properties of energy bands, whereas the nonlinear PHE isextrinsic. The predicted linear and nonlinear PHE are inherently different fromothers and may shed light on a deeper understanding on transport nature of thetilted Weyl semimetals.

Field-induced Berry connection and planar Hall effect in tilted Weyl semimetals